Pith Number

pith:NTMRZ32G

pith:2017:NTMRZ32G47GKPVIIT7IMFI34VX

not attested not anchored not stored refs pending

Block patterns in generalized Euler Permutations

Jeffrey Brian Remmel, Ran Pan

arxiv:1706.00993 v1 · 2017-06-03 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NTMRZ32G47GKPVIIT7IMFI34VX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:43:07.128388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cd91cef46e7cca7d5089fd0c2a37cade552a6378f1578886875cd356e01d844

Aliases

arxiv: 1706.00993 · arxiv_version: 1706.00993v1 · doi: 10.48550/arxiv.1706.00993 · pith_short_12: NTMRZ32G47GK · pith_short_16: NTMRZ32G47GKPVII · pith_short_8: NTMRZ32G

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/NTMRZ32G47GKPVIIT7IMFI34VX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6cd91cef46e7cca7d5089fd0c2a37cade552a6378f1578886875cd356e01d844

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff8c638a63f726167e5862c0d9a9cce4c59e2b7cf1c695992f743c33d7a245bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-03T19:23:44Z",
    "title_canon_sha256": "63cd06b7b7f50ac73d3d21946c2e926cd49696f3e51196224f18872c88ba7fa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.00993",
    "kind": "arxiv",
    "version": 1
  }
}